The Supreme Court (at least in the USA) is the final arbitrator of cases. Cases are submitted to the Supreme Court in order to correct errors in judgment for the lower courts; even traffic tickets can go to the US Supreme Court, although it is highly unlikely because the Supreme Court has jurisdiction to take the appeal only if the appeal involves a federal question of some sort. The US Supreme Court has no jurisdiction over matters that are purely state related. Errors in judgment can cover a wide array of things (much too long to answer here).